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Finding the Fourth Proportional to 11,016, 16,524 and 10,462.32

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Solution

The fourth proportional to 11,016, 16,524 and 10,462.32 is: 15,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016 : 16,524 = 10,462.32 : x
  2. Step 2: Convert to fraction form
    11,016/16,524 = 10,462.32/x
  3. Step 3: Cross multiply
    11,016x = 16,524 × 10,462.32
  4. Step 4: Simplify right side
    11,016x = 172,879,375.68
  5. Step 5: Solve for x
    x = 172,879,375.68/11,016
  6. Step 6: Final answer
    x = 15,693.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.